%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Mar  6 09:03:55 EST 2024

% Result   : Unsatisfiable 0.12s 0.39s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Mar  4 09:19:17 EST 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39  % SZS output start Proof for theBenchmark
% 0.12/0.39  
% 0.12/0.39  % Problem matrix:
% 0.12/0.39  cnf(matrix-0, plain, ( equalish(X, X) )).
% 0.12/0.39  cnf(matrix-1, plain, ( ~equalish(X, Y) | equalish(Y, X) )).
% 0.12/0.39  cnf(matrix-2, plain, ( ~equalish(X, Y) | ~equalish(Y, Z) | equalish(X, Z) )).
% 0.12/0.39  cnf(matrix-3, plain, ( ~equalish(X, Y) | equalish(multiply(X, W), multiply(Y, W)) )).
% 0.12/0.39  cnf(matrix-4, plain, ( ~equalish(X, Y) | equalish(multiply(W, X), multiply(W, Y)) )).
% 0.12/0.39  cnf(matrix-5, plain, ( ~equalish(X, Y) | ~product(X, W, Z) | product(Y, W, Z) )).
% 0.12/0.39  cnf(matrix-6, plain, ( ~equalish(X, Y) | ~product(W, X, Z) | product(W, Y, Z) )).
% 0.12/0.39  cnf(matrix-7, plain, ( ~equalish(X, Y) | ~product(W, Z, X) | product(W, Z, Y) )).
% 0.12/0.39  cnf(matrix-8, plain, ( ~equalish(X, Y) | equalish(inverse(X), inverse(Y)) )).
% 0.12/0.39  cnf(matrix-9, plain, ( product(X, Y, multiply(X, Y)) )).
% 0.12/0.39  cnf(matrix-10, plain, ( ~product(X, Y, Z) | ~product(X, Y, W) | equalish(Z, W) )).
% 0.12/0.39  cnf(matrix-11, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 0.12/0.39  cnf(matrix-12, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 0.12/0.39  cnf(matrix-13, plain, ( product(identity, A, A) )).
% 0.12/0.39  cnf(matrix-14, plain, ( product(inverse(A), A, identity) )).
% 0.12/0.39  cnf(matrix-15, plain, ( ~product(not_right_identity(A), A, not_right_identity(A)) )).
% 0.12/0.39  
% 0.12/0.39  % Proof stack:
% 0.12/0.39  cnf(proof-stack, plain, 
% 0.12/0.39  proof_stack(
% 0.12/0.39  start(15), 
% 0.12/0.39  left_branch(0, 12, 3, 2), 
% 0.12/0.39  left_branch(0, 11, 3, 3), 
% 0.12/0.39  left_branch(0, 14, 0, 4), 
% 0.12/0.39  right_branch(4), 
% 0.12/0.39  left_branch(0, 13, 0, 5), 
% 0.12/0.39  right_branch(5), 
% 0.12/0.39  left_branch(0, 14, 0, 6), 
% 0.12/0.39  right_branch(6), 
% 0.12/0.39  right_branch(3), 
% 0.12/0.39  left_branch(0, 11, 3, 4), 
% 0.12/0.39  left_branch(0, 14, 0, 5), 
% 0.12/0.39  right_branch(5), 
% 0.12/0.39  left_branch(0, 13, 0, 6), 
% 0.12/0.39  right_branch(6), 
% 0.12/0.39  left_branch(0, 14, 0, 7), 
% 0.12/0.39  right_branch(7), 
% 0.12/0.39  right_branch(4), 
% 0.12/0.39  left_branch(0, 13, 0, 5), 
% 0.12/0.39  right_branch(5), 
% 0.12/0.39  right_branch(2)
% 0.12/0.39  )).
% 0.12/0.39  % SZS output end Proof for theBenchmark
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